Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-3 Solving Inequalities Using Multiplication or Division - Practice and Problem-Solving Exercises - Page 181: 13

Answer

$-3\leq x$

Work Step by Step

$-7\leq\frac{7}{3}x\longrightarrow$ multiply both sides by $\frac{3}{7}$ $-7\times\frac{3}{7}\leq\frac{7}{3}x\times\frac{3}{7}\longrightarrow$ multiply $-3\leq x$ Check the endpoint $-7\overset?=\frac{7}{3}(-3)$ $-7=-7\checkmark$ Check the inequaity $-7\overset?\leq\frac{7}{3}(0)$ $-7\leq0\checkmark$ Since -3 is included in the solution, the endpoint on the graph is a solid circle.
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